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Fibonacci Numbers with the Lehmer Property

Florian Luca (2007)

Bulletin of the Polish Academy of Sciences. Mathematics

We show that if m > 1 is a Fibonacci number such that ϕ(m) | m-1, where ϕ is the Euler function, then m is prime

Funzione generatrice e polinomi incompleti di Fibonacci e Lucas

Wenchang Chu, Valentina Vicenti (2003)

Bollettino dell'Unione Matematica Italiana

I numeri incompleti di Fibonacci e di Lucas, introdotti da Filipponi (1996), sono entrambi generalizzati in forma di polinomi. Le loro funzioni generatrici ridondanti, naturali e condizionate sono stabilite attraverso serie formali di potenze. Le funzioni generatrici relative alle sequenze di numeri dovute a Pinter e Srivastava (1999) sono contenute come casi particolari.

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